They want a libertarian-style business environment where businesses are free to operate with few restrictions and the businesses get to define those restrictions and control the processes that could limit or monitor their operations. For private citizens they also prefer individuals be free to make their own choices about how they conduct themselves up to a point.
Past that point, they become authoritarian, using religion as a basis for state-enforced mandates to control individual's rights to make what should be private decisions between an individual and qualified professionals.
They want the state to control every aspect of an individual's life that they feel doesn't fit their own morals while at the same time allowing businesses free reign to operate within the state even if their operations harm the citizens of the state, the state's natural resources, or the state's economic interests.
Hopefully it is more clear now. It still doesn't make much sense since their philosophy is riddled with contradictions or outright hypocrisy. They would impose restrictions on people they wish to control while ignoring the same behavior of people who otherwise publicly support them.
Anyway, I'm probably wrong since I am not a political science expert. I'm just a native Texan.